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Finding the Third Proportional to 56,678 and 88,167

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Solution

The third proportional to 56,678 and 88,167 is: 137,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,678 : 88,167 = 88,167 : x
  2. Step 2: Convert to fraction form
    56,678/88,167 = 88,167/x
  3. Step 3: Cross multiply
    56,678x = 88,167 × 88,167
  4. Step 4: Simplify right side
    56,678x = 7,773,419,889
  5. Step 5: Solve for x
    x = 7,773,419,889/56,678
  6. Step 6: Final answer
    x = 137,150.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.